In \( \triangle Q W E, m \angle Q=45 \) and \( m \angle E=90 \). If \( E W=7 \), find \( Q E \) and \( Q W \).

1 Choose the correct answer from those given: \( \begin{array}{llll}\text { (1) The distance between the point }(-4,-3) \text { and the } X \text {-axis equals ............ length u } \\ \begin{array}{llll}\text { (a) }-3 & \text { (b) } 3 & \text { (c) } 4 & \text { (d) }-4\end{array}\end{array} l^{\circ} \)

3. Find a vector perpendicular to the plane of using the points \( P=(1,2,-4) \), \( Q=(2,5,-7) \) and \( R=(3,-5,-1) \). Also find area of the parallelogram and area of triangle. Furthermore find a unit vector perpendicular to the plane using these points.

Arc Length Find the arc length for the following. 13. A circle has a radius of 5.75 inches. Find the length of the arc intercepted by a central angle of \( \frac{5 \pi}{6} \). 14. A circle has a diameter of 10 inches. Find the length of the arc intercepted by a central angle of \( 125^{\circ} \).

Figure 4.27 The areas of two similar triangles are \( 64 \mathrm{~cm}^{2} \) and \( 144 \mathrm{~cm}^{2} \), a) Find the ratio of their altitudes. b) If the perimeter of the smaller triangle is 49 cm , find the perimeter of the larger triangle.

8. Find the volume of the box (parallelepiped) determined by the points \( P=(1,2,4) \), \( Q=(2,-5,8), R=(4,2,-3) \) and \( S=(3,5,-6) \). 9. Find the volume of the box (parallelepiped) determined by the points \( P=(8,5,3) \), \( Q=(4,6,7), R=(-4,-2,9) \) and \( S=(3,-3,-4) \).